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AnilSinghBora
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Find the roots of the following quadratic equations by factorisation:(v) 100×2 – 20x + 1 = 0 Q.1(5)

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The best method for solving the quadratic equation . How i solve by the factorisation method  Find the roots of the following quadratic equations by factorisation:(v) 100×2 – 20x + 1 = 0

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  1. Given, 100x2 – 20x + 1=0

    Taking LHS,

    = 100x2 – 10x – 10x + 1

    = 10x(10x – 1) -1(10x – 1)

    = (10x – 1)2

    The roots of this equation, 100x2 – 20x + 1=0, are the values of x for which (10x – 1)2= 0

    ∴ (10x – 1) = 0 or (10x – 1) = 0

    ⇒x = 1/10 or x = 1/10

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